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Finding the Fourth Proportional to 13,780.60, 20,654.49 and 9,597.97

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Solution

The fourth proportional to 13,780.60, 20,654.49 and 9,597.97 is: 14,385.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,780.60 : 20,654.49 = 9,597.97 : x
  2. Step 2: Convert to fraction form
    13,780.60/20,654.49 = 9,597.97/x
  3. Step 3: Cross multiply
    13,780.60x = 20,654.49 × 9,597.97
  4. Step 4: Simplify right side
    13,780.60x = 198,241,175.39
  5. Step 5: Solve for x
    x = 198,241,175.39/13,780.60
  6. Step 6: Final answer
    x = 14,385.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.